Higher integrability for doubly nonlinear parabolic systems
نویسندگان
چکیده
منابع مشابه
Compactness Methods for Doubly Nonlinear Parabolic Systems
We study solutions of the system of PDE Dψ(vt) = DivDF (Dv), where ψ and F are convex functions. This type of system arises in various physical models for phase transitions. We establish compactness properties of solutions that allow us to verify partial regularity when F is quadratic and characterize the large time limits of weak solutions. Special consideration is also given to systems that a...
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(1.1) ∂tu− div a(z,Du) = div ( |F |p(z)−2F ) in ΩT . Here, ΩT denotes the space time cylinder Ω × (0, T ) over a bounded domain Ω ⊆ R with dimension n ≥ 2. We write z = (x, t) for points in R, Du for the spatial gradient of u and ∂tu for the derivative with respect to time. The function u : ΩT → R with N ≥ 1 can possibly be vector valued, so that we include in our considerations the case of par...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2020
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.06.009